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Finding the Fourth Proportional to 513.18, 708.52 and 394.94

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Solution

The fourth proportional to 513.18, 708.52 and 394.94 is: 545.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    513.18 : 708.52 = 394.94 : x
  2. Step 2: Convert to fraction form
    513.18/708.52 = 394.94/x
  3. Step 3: Cross multiply
    513.18x = 708.52 × 394.94
  4. Step 4: Simplify right side
    513.18x = 279,822.89
  5. Step 5: Solve for x
    x = 279,822.89/513.18
  6. Step 6: Final answer
    x = 545.27

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.